Limit formulas of period integrals for a certain symmetric pair

DOI10.1016/J.JFA.2008.05.017zbMath1158.43009OpenAlexW1977200073MaRDI QIDQ957967

Masao Tsuzuki

Publication date: 2 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.05.017

zbMATH Keywords

periods of automorphic formsautomorphic heat kernels

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (6)

Spectral square means for period integrals of wave functions on real hyperbolic spaces ⋮ Relative trace formulas for unitary hyperbolic spaces ⋮ \({A_{\mathfrak{q}}} \)-components of geometric classes in compact Hermitian locally symmetric spaces ⋮ Limit formulas of period integrals for a certain symmetric pair. II ⋮ Global automorphic Sobolev theory and the automorphic heat kernel ⋮ Spectral means of central values of automorphic 𝐿-functions for 𝐺𝐿(2)

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